Question

convert into p/q form
__
Q1. 0.23

Q2. 0.137

Answer 1

1. 23/100

2.137/1000

Answer 2

Q1.
solution : x = 0.23 .......(1)
multiply equation 1 by 100
x*100=0.23*100
100x= 23..... .............(2)


Now, subtract equation 1 from 2
100x-x = 23....-0.23
99x= 23
x= 23/99
p/q=23/99




Q2.
solution :x=0.137........(1)
multiply equation 1 by 1000
x*1000=0.137*1000
1000x=137.... ..........(2)


Now, subtract equation 1 from 2
1000x-x = 137...-0.137
999x= 137
x =137/999
p/q= 137/999